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Finding the Fourth Proportional to 848.37, 1,274.47 and 602.13

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Solution

The fourth proportional to 848.37, 1,274.47 and 602.13 is: 904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.37 : 1,274.47 = 602.13 : x
  2. Step 2: Convert to fraction form
    848.37/1,274.47 = 602.13/x
  3. Step 3: Cross multiply
    848.37x = 1,274.47 × 602.13
  4. Step 4: Simplify right side
    848.37x = 767,399.90
  5. Step 5: Solve for x
    x = 767,399.90/848.37
  6. Step 6: Final answer
    x = 904.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.